Locally compact field

In algebra, a locally compact field is a topological field whose topology forms a locally compact space^[1] (in particular, it is a Hausdorff space). Examples are discrete fields and local fields such as the field of complex numbers and the p-adic fields. Since one can always give discrete topology to a field, any field can be turned into a locally compact field.

See also

• Local field
• Locally compact group
• Locally compact quantum group

References